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Finding the Fourth Proportional to 470.42, 648.69 and 314.90

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Solution

The fourth proportional to 470.42, 648.69 and 314.90 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.42 : 648.69 = 314.90 : x
  2. Step 2: Convert to fraction form
    470.42/648.69 = 314.90/x
  3. Step 3: Cross multiply
    470.42x = 648.69 × 314.90
  4. Step 4: Simplify right side
    470.42x = 204,272.48
  5. Step 5: Solve for x
    x = 204,272.48/470.42
  6. Step 6: Final answer
    x = 434.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.